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Finding the Fourth Proportional to 19,768.61, 29,651.84 and 4,977.50

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Solution

The fourth proportional to 19,768.61, 29,651.84 and 4,977.50 is: 7,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.61 : 29,651.84 = 4,977.50 : x
  2. Step 2: Convert to fraction form
    19,768.61/29,651.84 = 4,977.50/x
  3. Step 3: Cross multiply
    19,768.61x = 29,651.84 × 4,977.50
  4. Step 4: Simplify right side
    19,768.61x = 147,591,860.45
  5. Step 5: Solve for x
    x = 147,591,860.45/19,768.61
  6. Step 6: Final answer
    x = 7,465.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.